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The Schwarzian equation for completely replicable functions

Part of: Representation theory of groups Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  01 October 2017

Abdelkrim El Basraoui  and
John McKay
Abdelkrim El Basraoui
Affiliation:
Department of Mathematics and Statistics, University of Ottawa, Ottawa, Ontario K1N6N5, Canada email abdelkrim.elbasraoui@gmail.com
John McKay
Affiliation:
Department of Mathematics and Statistics, Concordia University, Montréal, Québec H3G 1M8, Canada email mckay@encs.concordia.ca

Abstract

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We describe the Schwarzian equations for the 328 completely replicable functions with integral $q$-coefficients [Ford et al., ‘More on replicable functions’, Comm. Algebra 22 (1994) no. 13, 5175–5193].

MSC classification

Primary: 11F03: Modular and automorphic functions 11F22: Relationship to Lie algebras and finite simple groups
Secondary: 20D08: Simple groups

Information

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 20 , Issue 1 , 2017 , pp. 30 - 52
Copyright
© The Author(s) 2017 

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